Instability in degenerate two-photon running wave laser

Cun-Zheng Ning, Hermann Haken

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ, r=γ; κ is the cavity loss of the field and γ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r<k<(1+r)/2 an instability occurs. With the decrease in pumping the stable lasing state loses its stability due to Hopf-bifurcation.

Original languageEnglish (US)
Pages (from-to)157-162
Number of pages6
JournalZeitschrift für Physik B Condensed Matter
Volume77
Issue number1
DOIs
StatePublished - Feb 1989
Externally publishedYes

Fingerprint

Photons
Lasers
photons
lasers
lasing
Hopf bifurcation
pumping
cavities
decay

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Instability in degenerate two-photon running wave laser. / Ning, Cun-Zheng; Haken, Hermann.

In: Zeitschrift für Physik B Condensed Matter, Vol. 77, No. 1, 02.1989, p. 157-162.

Research output: Contribution to journalArticle

@article{10c9a3b68f8c40a1ba2c077220552ab1,
title = "Instability in degenerate two-photon running wave laser",
abstract = "The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r",
author = "Cun-Zheng Ning and Hermann Haken",
year = "1989",
month = "2",
doi = "10.1007/BF01313633",
language = "English (US)",
volume = "77",
pages = "157--162",
journal = "Zeitschrift für Physik B Condensed Matter and Quanta",
issn = "0340-224X",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Instability in degenerate two-photon running wave laser

AU - Ning, Cun-Zheng

AU - Haken, Hermann

PY - 1989/2

Y1 - 1989/2

N2 - The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r

AB - The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2 k>1+r(k=κ/γ⊥, r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. For r

UR - http://www.scopus.com/inward/record.url?scp=0009180372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009180372&partnerID=8YFLogxK

U2 - 10.1007/BF01313633

DO - 10.1007/BF01313633

M3 - Article

AN - SCOPUS:0009180372

VL - 77

SP - 157

EP - 162

JO - Zeitschrift für Physik B Condensed Matter and Quanta

JF - Zeitschrift für Physik B Condensed Matter and Quanta

SN - 0340-224X

IS - 1

ER -